PRP Records

Probable Primes Top 10000

(181746 PRPs in the top)


What is a PRP ?

A PRP is a probable prime number, a number that nobody knows how to prove or disprove its primality.
Here are some criterions that can be used to recognize these numbers :

- N does not have any prime factor up to 2^32.
- N cannot be trivially written into a product.
- Take 3 square-free consecutive bases such that (b1/N)=(b2/N)=(b3/N)= -1. N should be such that b1^((N-1)/2)=b2^((N-1)/2)=b3^((N-1)/2)= -1 (mod N).
- Take a prime base such that (b/N)= -1 and b<>b1<>b2<>b3. N should pass the strong test in base b.
- or more (if someone has got an idea) !!!


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1-250   251-500   501-750   751-1000   1001-1250   1251-1500   1501-1750   1751-2000   
2001-2250   2251-2500   2501-2750   2751-3000   3001-3250   3251-3500   3501-3750   3751-4000   
4001-4250   4251-4500   4501-4750   4751-5000   5001-5250   5251-5500   5501-5750   5751-6000   
6001-6250   6251-6500   6501-6750   6751-7000   7001-7250   7251-7500   7501-7750   7751-8000   
8001-8250   8251-8500   8501-8750   8751-9000   9001-9250   9251-9500   9501-9750   9751-10000   


Rank Probable prime Digits (> 30000) Who ? When ?
60014*5^101038+970624Lelio R Paula10/2014
60022^234603+7196370623Enzo Doria04/2016
60032^234600-11312970622Enzo Doria07/2014
60052^234586+970618Lelio R Paula02/2012
60043^148008+2670618Robert Price11/2013
600665^38947+3270608Lelio R Paula01/2016
6007(2^234488-3)/1170587Lelio R Paula05/2012
6008(3*2^234451+1)/3570576Lelio R Paula08/2012
6009Phi(159495,10)70560Maksym Voznyy09/2015
60102^234383-403570557Lelio R Paula05/2012
60112^234315-11124170536Enzo Doria05/2014
601214^61526+9770517Lelio R Paula01/2015
6013(3*2^234170+1)/1370492Lelio R Paula08/2012
601451^41281-50^4128170491Robert Price02/2013
60152^234141-11212370484Enzo Doria06/2014
60162^234139+1228570483Lelio R Paula04/2012
60172^234133-316370482Yves Minet04/2009
60182^234115+8370476Lelio R Paula02/2012
60192^234114-159570476Lelio R Paula05/2012
602024^51061-23^5106170475Robert Price07/2012
602119471^16428-270467Faysal YAtim09/2005
60227^83381+1270466Robert Price01/2014
60232^234067-11142770462Enzo Doria05/2014
6024(266*10^70457+1)/370459Robert Price02/2016
6025(31*2^234041-1)/9770453Lelio R Paula01/2014
60262^234026+1290970449Lelio R Paula04/2012
60272^233965-1970431Lelio R Paula02/2012
6028(5*2^233932-1)/17970419Lelio R Paula01/2014
60292^233908-1710970414Enzo Doria05/2013
6030695^24772+24772^69570402Norbert Schneider09/2016
60313*5^100719-270401Lelio R Paula10/2014
60322^233829-11135570390Enzo Doria05/2014
6033(19775^16384+1)/270388Henri Lifchitz03/2007
60347*3^147519+870386Lelio R Paula04/2014
60355*7^83265+270368Lelio R Paula10/2014
6036(23*10^70363+97)/370364Robert Price02/2017
6037(23*2^233749-1)/3532570363Lelio R Paula01/2014
60385^100652-1391670353Enzo Doria02/2013
603945^42555-270353Lelio R Paula08/2013
60402^233661-6170339Lelio R Paula02/2012
60412^233523-11224970298Enzo Doria06/2014
60425*3^147324-870293Lelio R Paula04/2014
60432^233488-1306570287Enzo Doria11/2012
6044(3^147322+8)/4285170286Lelio R Paula06/2012
6045(22*10^70259+161)/370260Robert Price02/2017
60462^233388+46570257Lelio R Paula11/2012
604714^61299+5970257Lelio R Paula01/2015
60482^233383+9406570256Lelio R Paula04/2012
604949471!3-656170253Robert Price11/2015
60507^83121+6^(83121-1)70246Robert Price03/2016
605123*10^70240-770242Robert Price03/2016
6052(71*10^70227-53)/970228Robert Price10/2015
6053(2^233247-9)/1770214Lelio R Paula05/2012
6054(11^67421-2^67421)/970211Robert Price01/2013
6055(23*10^70209-41)/970210Robert Price03/2015
6056(29*10^70194-11)/970195Robert Price04/2015
60573^147109+19670189Lelio R Paula05/2014
6058(34*10^70191-7)/9/3/40583/57304770181Makoto Morimoto05/2016
60599^73538+8^(73538+1)70174Robert Price06/2016
60602*5^100391+770171Lelio R Paula10/2014
606199^35156-270159Lelio R Paula08/2013
6062(68*10^70148+7)/370150Robert Price03/2016
606311^67360-603070149Enzo Doria01/2013
606449391!3+3^4939170128Robert Price09/2015
6065(229*10^70122-1)/370124Robert Price12/2016
60667^82975-9270123Lelio R Paula07/2014
606765^38670+5870106Lelio R Paula01/2016
6068105^34684+34684^10570103Serge Batalov05/2014
6069134^32955-13370099Norbert Schneider03/2015
60712^232836-22790370091Enzo Doria12/2012
60702^232837-185917370091Enzo Doria03/2016
60723*2^232820+570087Lelio R Paula04/2014
60742^232799+9019570080Lelio R Paula02/2013
60732^232799-11223770080Enzo Doria06/2014
60752^232759+26214570068Lelio R Paula04/2012
60763*2^232750+770066Lelio R Paula04/2014
607712^64918-1170059Lelio R Paula01/2015
60787^82899-1270058Lelio R Paula09/2013
6079(22*10^70051-13)/970052Robert Price03/2015
6080(2^232685-7)/251462570039Lelio R Paula04/2012
608118^55786-536370027Enzo Doria03/2013
6082(2^(77537*3+1)+243)/770023Kevin Acres11/2013
60832^232602+16970021Lelio R Paula02/2012
60842^232580+7213370014Enzo Doria04/2016
60854*6^89958-770002Lelio R Paula09/2014
608610^70000+8048770001Milton L. Brown05/2006
608710^69999+13485770000Patrick De Geest02/2007
609110^70000-927370000Patrick De Geest08/2009
6092(79*10^69999-7)/970000Robert Price01/2015
6090((2^43112609)/10^38420)%10^7000070000Michael Vang10/2016
6088(2^756839/10^36014)%10^7000070000Michael Vang12/2016
6089(2^74207281/10^32641)%10^7000070000Michael Vang12/2016
609310^69999-8825169999Patrick De Geest08/2009
60942^232507+108969992Lelio R Paula04/2012
6095(17*2^232445+1)/569974Lelio R Paula08/2012
60967^82778+4869956Lelio R Paula09/2013
60977*2^232381+369955Lelio R Paula04/2014
60982^232362-11054169948Enzo Doria05/2014
60992^232326-11239169938Enzo Doria06/2014
61003^146575+23669935Lelio R Paula09/2013
610130^47341-2969929Norbert Schneider02/2014
61025^100040-6869925Lelio R Paula09/2013
6103(35*10^69866-593)/969867Robert Price08/2017
61042^232045-1729569853Lelio R Paula04/2012
6105(2^231987+78557)/9569834Lelio R Paula05/2012
61062^231955+7424369826Yves Minet03/2011
61072^231946-1587369823Enzo Doria04/2013
610818^55618+9569816Lelio R Paula09/2013
61096^89712+5^(89712-1)69810Robert Price02/2016
61102^231870+13569800Lelio R Paula02/2012
6111(23*2^231827-1)/417969785Lelio R Paula01/2014
61122^231778+5461569773Lelio R Paula04/2012
6113(19*2^231780+1)/23569772Lelio R Paula08/2012
611414^60866+2769761Lelio R Paula09/2013
611513^62619-4469755Lelio R Paula09/2013
6116(2^231715-509203)/3569752Lelio R Paula05/2012
61172^231711-11046769752Enzo Doria05/2014
6118(19^54547+18^54547)/3769751Robert Price08/2013
6119(23*2^231697-1)/4569748Lelio R Paula01/2014
61202^231696-186149969748Enzo Doria03/2016
61212^231684-14769744Lelio R Paula02/2012
6122(23*2^231686-1)/118369743Lelio R Paula01/2014
61232^231591-47739769716Paul Bourdelais03/2013
612411^66916-42069686Enzo Doria08/2012
61255^99680-1370669674Enzo Doria02/2013
6126(8*10^69674-53)/969674Robert Price11/2014
6127(77*10^69656-23)/969657Robert Price10/2015
61286^89509+13169652Lelio R Paula09/2013
6129(78557*2^231349+1)/3569647Lelio R Paula06/2014
6130(11*10^69645+19)/369646Robert Price03/2016
613111^66875-2869644Lelio R Paula09/2013
61322^231347+7148369643Enzo Doria04/2016
6133(14^60763+3^60763)/1769641Robert Price04/2013
6134(4*10^69626+173)/369627Robert Price01/2017
61352^231289+25569625Lelio R Paula04/2012
61362^231234-11291369609Enzo Doria06/2014
6137(265*10^69602-7)/369604Robert Price07/2016
61382^231182-11284169593Enzo Doria06/2014
6139(15*2^231129+1)/2369577Lelio R Paula08/2012
61403^145806-2869568Lelio R Paula09/2013
6141(265*10^69554-7)/369556Robert Price07/2016
61422^231052-11315969554Enzo Doria07/2014
614311^66784-869549Lelio R Paula09/2013
6144Phi(104409,10)/229699969546Maksym Voznyy07/2015
61452^231016-11052369543Enzo Doria05/2014
61462^231014+57729457569543Lelio R Paula02/2016
614714^60658+6769522Lelio R Paula09/2013
61485^99418+3669491Lelio R Paula06/2013
61497^82203-3069470Lelio R Paula09/2013
6150(63^38609-1)/6269469Paul Bourdelais08/2017
61515^99359-2^9936069449Mike Oakes12/2010
6152(29*2^230684+1)/139569442Lelio R Paula08/2012
6153(19*10^69424+77)/369425Robert Price08/2016
615419^54287-9669420Lelio R Paula09/2013
61552^230541+5890569400Lelio R Paula04/2012
61562^230506+1270569390Lelio R Paula02/2013
61578*6^89156-569378Lelio R Paula09/2014
61582^230438-11134769369Enzo Doria05/2014
61592^230428-9969366Lelio R Paula02/2012
6160(62^38699+1)/6369362Paul Bourdelais08/2017
61613*10^69354+1769355Robert Price03/2017
6162(493*10^69340-7)/969342Robert Price07/2016
6163(41*10^69321+373)/969322Robert Price04/2017
61646^89072+5369312Lelio R Paula09/2013
6165155^31639+269300Lelio R Paula05/2013
61663*7^81965-469269Lelio R Paula09/2014
6167(86*10^69260-77)/969261Robert Price05/2016
61689*5^99087+469260Lelio R Paula09/2014
61693^145145+266069252Lelio R Paula09/2013
617111^66492-114069245Enzo Doria11/2012
61705*3^145129-469245Lelio R Paula04/2014
61727*3^145126+869244Lelio R Paula04/2014
617311^66480-237069232Enzo Doria12/2012
61742^229962-6569226Lelio R Paula02/2012
61752^229958-11073369225Enzo Doria05/2014
6176V(332407)69225Serge Batalov03/2015
61776^88959+769224Lelio R Paula09/2013
617815^58855-9469219Lelio R Paula09/2013
6179(2^229838+47)/1208169185Lelio R Paula04/2012
61803^144952+9869160Lelio R Paula09/2013
61815^98941-7269157Lelio R Paula06/2013
6182(17*2^229604-1)/22969117Lelio R Paula01/2014
61832^229585-106369112Yves Minet11/2012
6184(13*2^229567-1)/1969107Lelio R Paula01/2014
6185(13*2^229393-1)/569055Lelio R Paula01/2014
6186(53*10^69050-17)/969051Robert Price09/2015
61872^229305-186853369028Enzo Doria04/2016
61882^229297+138569026Lelio R Paula04/2012
618918^54986-244169023Enzo Doria03/2013
6190(34*10^69021-7)/9/3/6769020Makoto Morimoto04/2016
61915^98736-1463669014Enzo Doria02/2013
6192(13^61949-5^61949)/869007Robert Price03/2013
6193(2^229227+5)/61169002Lelio R Paula04/2012
61942^229216-11327969001Enzo Doria07/2014
619510^68994+5191368995Patrick De Geest03/2016
619710^68994-10^5814-168994Serge Batalov01/2011
619610^68994-8294768994Patrick De Geest03/2016
6198(17*2^229136-1)/238168975Lelio R Paula01/2014
61992^229113+10768970Lelio R Paula02/2012
620011^66202-441068943Enzo Doria01/2013
620112^63883+568942Lelio R Paula07/2013
6202(9913*2^229002-1)/39990368935Lelio R Paula04/2015
62032^228962-11158168925Enzo Doria05/2014
62042^228944+8168920Henri Lifchitz01/2007
620511^66174-5468914Lelio R Paula09/2013
62062^228913-11126568910Enzo Doria05/2014
62072^228902+7351968907Enzo Doria04/2016
6208(47*2^228884+1)/6368901Lelio R Paula04/2015
62092^228821+7642768882Enzo Doria05/2016
62103^144340+5068868Lelio R Paula09/2013
62112^228758-11296768864Enzo Doria06/2014
62122^228743-11137968859Enzo Doria05/2014
62132^228741-11091168858Enzo Doria05/2014
6215lucasU(1926,1,20964)-lucasU(1926,1,20963)68857Mike Oakes05/2009
62143*5^98511-868857Lelio R Paula09/2014
62162^228717+46768851Lelio R Paula02/2011
6217Phi(153218,10)/2211855049/23592660859/49771411729168849Maksym Voznyy10/2011
6218(509203*2^228665-1)/3568840Lelio R Paula04/2015
62198^76213-7^7621368828Ananda Tallur & Jean-Louis Charton11/2003
622011^66074-105068809Enzo Doria11/2012
62212^228484+18168781Lelio R Paula02/2012
62222^228479-5869568780Lelio R Paula04/2012
62232^228465-1585368775Enzo Doria04/2013
622411^66040-540068774Enzo Doria01/2013
6225(13*2^228441-1)/57568766Lelio R Paula01/2014
6226(17*2^228393+1)/29568752Lelio R Paula08/2012
62272*10^68744+4168745Robert Price01/2017
622811^66011-15068744Enzo Doria08/2012
6229(13*2^228304-1)/8168726Lelio R Paula01/2014
62302^228295-11107968724Enzo Doria05/2014
6231(3^144039+7)/2268723Lelio R Paula04/2012
6232(8*10^68722+49)/368723Robert Price03/2016
6233(35*10^68718+1)/968719Serge Batalov11/2010
62342^228271-22827168717Henri Lifchitz11/2004
62352^228257+8287568713Lelio R Paula02/2013
62363^144013+4068712Lelio R Paula09/2013
623713^61671-8668699Lelio R Paula09/2013
623817^55828-7268694Lelio R Paula09/2013
62396^88259+6168679Lelio R Paula09/2013
624018^54699-568663Lelio R Paula09/2013
624133^45216+268662Lelio R Paula05/2013
6243(2^228073-5)/368657Lelio R Paula04/2012
6242(2^(6*38012+1)-5)/368657Kevin Acres11/2013
62442^228055-11160768652Enzo Doria05/2014
62452^228054-11476168652Enzo Doria05/2015
62462^228041+118568648Lelio R Paula04/2012
62472^228040-103768647Yves Minet11/2012
62482*F(328450)-168642Henri Lifchitz12/2009
62495^98201-3468640Lelio R Paula06/2013
62509^71910+3*8^71910-2*4^71910-3*2^7191068620Mike Oakes12/2010


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: September, 14 2017 17:05 (Time in France)

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